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Reliability of Randomly Excited Hysteretic Structures
I. Introduction -- A. General Remarks -- B. Literature Review -- C. Objective and Scope -- II. Problem Definition and Formulation -- A. The Modified-Bouc Hysteresis Model -- B. Formulation of the First Passage Problem -- III. Numerical Solution of the First Passage Problem -- A. A Petrov-Galerkin Finite Element Method for Three-Dimensional Convection-Diffusion Problems -- B. Solution of the Generalized Pontriagin-Vitt Equation for the Ordinary Moments of Time to First Passage -- C. Solution of the Initial-Boundary Value Problem for Oscillator Reliability -- IV. Validation of Results -- A. Demonstration of the Consistency Between the Steady State and Transient First Passage Formulations -- B. Monte Carlo Simulation of the Failure Process -- C. Comparison of the Finite Element Results with the Simulation -- V. Estimating Oscillator Reliability Using Ordinary Moments -- A. The Maximum Entropy Distributions -- B. Estimating Reliability of the Hysteretic Oscillator -- VI. Conclusions and Recommendations -- I. Derivative Moments -- II. Derivation of the Finite Element Matrices -- III. Derivation of Spectral Density for a Rectangular Pulse Excitation -- IV. Maximum Entropy Distribution Algorithm -- Appendices -- References.
A. GENERAL REMARKS During the last century, probabilistic methods for design and analysis of engineering systems have assumed a prominent place as an engineering tool. No longer do engineers naively believe that all problems can be analyzed with deterministic methods; but rather, it has been recognized that, due to unc- tainties in the model and the excitation, it may only be possible to describe the state of a system in terms of some random measure. Thus, with the need to address safety and design issues adequately and simultaneously to minimize the cost of a system, much attention has been given to the development of probabilistic criteria which can be applied in a systematic manner [l]t. These techniques allow for uncertainties in the parameters of the model as well as for uncertainties in both the static and dynamic loadings to be considered and therefore give a better measure of the reliability of a system. Widespread application of probabilistic methods can be found in disciplines ranging from civil, mechanical and electrical engineering to biology, economics and political science.
Reliability of Randomly Excited Hysteretic Structures
I. Introduction -- A. General Remarks -- B. Literature Review -- C. Objective and Scope -- II. Problem Definition and Formulation -- A. The Modified-Bouc Hysteresis Model -- B. Formulation of the First Passage Problem -- III. Numerical Solution of the First Passage Problem -- A. A Petrov-Galerkin Finite Element Method for Three-Dimensional Convection-Diffusion Problems -- B. Solution of the Generalized Pontriagin-Vitt Equation for the Ordinary Moments of Time to First Passage -- C. Solution of the Initial-Boundary Value Problem for Oscillator Reliability -- IV. Validation of Results -- A. Demonstration of the Consistency Between the Steady State and Transient First Passage Formulations -- B. Monte Carlo Simulation of the Failure Process -- C. Comparison of the Finite Element Results with the Simulation -- V. Estimating Oscillator Reliability Using Ordinary Moments -- A. The Maximum Entropy Distributions -- B. Estimating Reliability of the Hysteretic Oscillator -- VI. Conclusions and Recommendations -- I. Derivative Moments -- II. Derivation of the Finite Element Matrices -- III. Derivation of Spectral Density for a Rectangular Pulse Excitation -- IV. Maximum Entropy Distribution Algorithm -- Appendices -- References.
A. GENERAL REMARKS During the last century, probabilistic methods for design and analysis of engineering systems have assumed a prominent place as an engineering tool. No longer do engineers naively believe that all problems can be analyzed with deterministic methods; but rather, it has been recognized that, due to unc- tainties in the model and the excitation, it may only be possible to describe the state of a system in terms of some random measure. Thus, with the need to address safety and design issues adequately and simultaneously to minimize the cost of a system, much attention has been given to the development of probabilistic criteria which can be applied in a systematic manner [l]t. These techniques allow for uncertainties in the parameters of the model as well as for uncertainties in both the static and dynamic loadings to be considered and therefore give a better measure of the reliability of a system. Widespread application of probabilistic methods can be found in disciplines ranging from civil, mechanical and electrical engineering to biology, economics and political science.
Reliability of Randomly Excited Hysteretic Structures
Spencer, B. F. (author)
1986
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Campusweiter Zugriff (Universität Hannover). - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots.
Book
Electronic Resource
English
DDC:
690
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